Properties

Label 43.10.c.a.6.20
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.20
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.20

$q$-expansion

\(f(q)\) \(=\) \(q+4.33792 q^{2} +(-9.83652 + 17.0374i) q^{3} -493.182 q^{4} +(215.967 - 374.066i) q^{5} +(-42.6701 + 73.9068i) q^{6} +(2230.56 + 3863.44i) q^{7} -4360.41 q^{8} +(9647.99 + 16710.8i) q^{9} +O(q^{10})\) \(q+4.33792 q^{2} +(-9.83652 + 17.0374i) q^{3} -493.182 q^{4} +(215.967 - 374.066i) q^{5} +(-42.6701 + 73.9068i) q^{6} +(2230.56 + 3863.44i) q^{7} -4360.41 q^{8} +(9647.99 + 16710.8i) q^{9} +(936.849 - 1622.67i) q^{10} -27416.0 q^{11} +(4851.20 - 8402.52i) q^{12} +(-46001.4 - 79676.7i) q^{13} +(9676.00 + 16759.3i) q^{14} +(4248.73 + 7359.01i) q^{15} +233594. q^{16} +(-200882. - 347939. i) q^{17} +(41852.2 + 72490.2i) q^{18} +(390211. - 675865. i) q^{19} +(-106511. + 184483. i) q^{20} -87763.8 q^{21} -118929. q^{22} +(576163. - 997943. i) q^{23} +(42891.2 - 74289.8i) q^{24} +(883279. + 1.52988e6i) q^{25} +(-199550. - 345632. i) q^{26} -766835. q^{27} +(-1.10007e6 - 1.90538e6i) q^{28} +(-1.36339e6 - 2.36146e6i) q^{29} +(18430.7 + 31922.8i) q^{30} +(2.80533e6 - 4.85898e6i) q^{31} +3.24584e6 q^{32} +(269678. - 467096. i) q^{33} +(-871413. - 1.50933e6i) q^{34} +1.92691e6 q^{35} +(-4.75822e6 - 8.24147e6i) q^{36} +(5.55400e6 - 9.61980e6i) q^{37} +(1.69270e6 - 2.93185e6i) q^{38} +1.80997e6 q^{39} +(-941704. + 1.63108e6i) q^{40} +8.96775e6 q^{41} -380713. q^{42} +(-1.88438e7 - 1.21451e7i) q^{43} +1.35211e7 q^{44} +8.33459e6 q^{45} +(2.49935e6 - 4.32900e6i) q^{46} -3.27725e7 q^{47} +(-2.29775e6 + 3.97983e6i) q^{48} +(1.02260e7 - 1.77120e7i) q^{49} +(3.83160e6 + 6.63652e6i) q^{50} +7.90394e6 q^{51} +(2.26871e7 + 3.92952e7i) q^{52} +(-2.28299e7 + 3.95426e7i) q^{53} -3.32647e6 q^{54} +(-5.92095e6 + 1.02554e7i) q^{55} +(-9.72614e6 - 1.68462e7i) q^{56} +(7.67663e6 + 1.32963e7i) q^{57} +(-5.91428e6 - 1.02438e7i) q^{58} +9.98543e7 q^{59} +(-2.09540e6 - 3.62934e6i) q^{60} +(-5.24475e7 - 9.08417e7i) q^{61} +(1.21693e7 - 2.10779e7i) q^{62} +(-4.30408e7 + 7.45489e7i) q^{63} -1.05520e8 q^{64} -3.97391e7 q^{65} +(1.16984e6 - 2.02623e6i) q^{66} +(-1.37865e8 + 2.38789e8i) q^{67} +(9.90717e7 + 1.71597e8i) q^{68} +(1.13349e7 + 1.96326e7i) q^{69} +8.35879e6 q^{70} +(1.39933e8 + 2.42371e8i) q^{71} +(-4.20691e7 - 7.28659e7i) q^{72} +(8.73252e7 + 1.51252e8i) q^{73} +(2.40928e7 - 4.17300e7i) q^{74} -3.47536e7 q^{75} +(-1.92445e8 + 3.33325e8i) q^{76} +(-6.11530e7 - 1.05920e8i) q^{77} +7.85153e6 q^{78} +(-1.14255e8 - 1.97896e8i) q^{79} +(5.04487e7 - 8.73797e7i) q^{80} +(-1.82358e8 + 3.15854e8i) q^{81} +3.89014e7 q^{82} +(3.61730e8 - 6.26535e8i) q^{83} +4.32835e7 q^{84} -1.73536e8 q^{85} +(-8.17429e7 - 5.26847e7i) q^{86} +5.36440e7 q^{87} +1.19545e8 q^{88} +(4.13765e8 - 7.16662e8i) q^{89} +3.61548e7 q^{90} +(2.05218e8 - 3.55447e8i) q^{91} +(-2.84153e8 + 4.92168e8i) q^{92} +(5.51894e7 + 9.55909e7i) q^{93} -1.42165e8 q^{94} +(-1.68545e8 - 2.91929e8i) q^{95} +(-3.19278e7 + 5.53006e7i) q^{96} +1.08266e9 q^{97} +(4.43597e7 - 7.68332e7i) q^{98} +(-2.64509e8 - 4.58143e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.33792 0.191711 0.0958555 0.995395i \(-0.469441\pi\)
0.0958555 + 0.995395i \(0.469441\pi\)
\(3\) −9.83652 + 17.0374i −0.0701126 + 0.121439i −0.898950 0.438050i \(-0.855669\pi\)
0.828838 + 0.559489i \(0.189003\pi\)
\(4\) −493.182 −0.963247
\(5\) 215.967 374.066i 0.154533 0.267660i −0.778356 0.627824i \(-0.783946\pi\)
0.932889 + 0.360164i \(0.117279\pi\)
\(6\) −42.6701 + 73.9068i −0.0134413 + 0.0232811i
\(7\) 2230.56 + 3863.44i 0.351134 + 0.608181i 0.986448 0.164072i \(-0.0524629\pi\)
−0.635315 + 0.772253i \(0.719130\pi\)
\(8\) −4360.41 −0.376376
\(9\) 9647.99 + 16710.8i 0.490168 + 0.848997i
\(10\) 936.849 1622.67i 0.0296258 0.0513133i
\(11\) −27416.0 −0.564595 −0.282297 0.959327i \(-0.591097\pi\)
−0.282297 + 0.959327i \(0.591097\pi\)
\(12\) 4851.20 8402.52i 0.0675357 0.116975i
\(13\) −46001.4 79676.7i −0.446710 0.773724i 0.551460 0.834202i \(-0.314071\pi\)
−0.998170 + 0.0604772i \(0.980738\pi\)
\(14\) 9676.00 + 16759.3i 0.0673162 + 0.116595i
\(15\) 4248.73 + 7359.01i 0.0216695 + 0.0375326i
\(16\) 233594. 0.891091
\(17\) −200882. 347939.i −0.583340 1.01037i −0.995080 0.0990735i \(-0.968412\pi\)
0.411740 0.911301i \(-0.364921\pi\)
\(18\) 41852.2 + 72490.2i 0.0939707 + 0.162762i
\(19\) 390211. 675865.i 0.686923 1.18978i −0.285906 0.958258i \(-0.592294\pi\)
0.972828 0.231527i \(-0.0743722\pi\)
\(20\) −106511. + 184483.i −0.148854 + 0.257822i
\(21\) −87763.8 −0.0984755
\(22\) −118929. −0.108239
\(23\) 576163. 997943.i 0.429309 0.743585i −0.567503 0.823371i \(-0.692090\pi\)
0.996812 + 0.0797864i \(0.0254238\pi\)
\(24\) 42891.2 74289.8i 0.0263887 0.0457065i
\(25\) 883279. + 1.52988e6i 0.452239 + 0.783301i
\(26\) −199550. 345632.i −0.0856392 0.148331i
\(27\) −766835. −0.277693
\(28\) −1.10007e6 1.90538e6i −0.338228 0.585829i
\(29\) −1.36339e6 2.36146e6i −0.357955 0.619997i 0.629664 0.776868i \(-0.283193\pi\)
−0.987619 + 0.156871i \(0.949859\pi\)
\(30\) 18430.7 + 31922.8i 0.00415428 + 0.00719542i
\(31\) 2.80533e6 4.85898e6i 0.545578 0.944969i −0.452992 0.891514i \(-0.649643\pi\)
0.998570 0.0534545i \(-0.0170232\pi\)
\(32\) 3.24584e6 0.547208
\(33\) 269678. 467096.i 0.0395852 0.0685636i
\(34\) −871413. 1.50933e6i −0.111833 0.193700i
\(35\) 1.92691e6 0.217048
\(36\) −4.75822e6 8.24147e6i −0.472153 0.817793i
\(37\) 5.55400e6 9.61980e6i 0.487189 0.843837i −0.512702 0.858567i \(-0.671355\pi\)
0.999892 + 0.0147298i \(0.00468881\pi\)
\(38\) 1.69270e6 2.93185e6i 0.131691 0.228095i
\(39\) 1.80997e6 0.125280
\(40\) −941704. + 1.63108e6i −0.0581627 + 0.100741i
\(41\) 8.96775e6 0.495628 0.247814 0.968808i \(-0.420288\pi\)
0.247814 + 0.968808i \(0.420288\pi\)
\(42\) −380713. −0.0188788
\(43\) −1.88438e7 1.21451e7i −0.840543 0.541744i
\(44\) 1.35211e7 0.543844
\(45\) 8.33459e6 0.302990
\(46\) 2.49935e6 4.32900e6i 0.0823032 0.142553i
\(47\) −3.27725e7 −0.979646 −0.489823 0.871822i \(-0.662939\pi\)
−0.489823 + 0.871822i \(0.662939\pi\)
\(48\) −2.29775e6 + 3.97983e6i −0.0624767 + 0.108213i
\(49\) 1.02260e7 1.77120e7i 0.253410 0.438919i
\(50\) 3.83160e6 + 6.63652e6i 0.0866992 + 0.150167i
\(51\) 7.90394e6 0.163598
\(52\) 2.26871e7 + 3.92952e7i 0.430292 + 0.745288i
\(53\) −2.28299e7 + 3.95426e7i −0.397432 + 0.688373i −0.993408 0.114629i \(-0.963432\pi\)
0.595976 + 0.803002i \(0.296765\pi\)
\(54\) −3.32647e6 −0.0532368
\(55\) −5.92095e6 + 1.02554e7i −0.0872488 + 0.151119i
\(56\) −9.72614e6 1.68462e7i −0.132158 0.228905i
\(57\) 7.67663e6 + 1.32963e7i 0.0963238 + 0.166838i
\(58\) −5.91428e6 1.02438e7i −0.0686240 0.118860i
\(59\) 9.98543e7 1.07283 0.536417 0.843953i \(-0.319777\pi\)
0.536417 + 0.843953i \(0.319777\pi\)
\(60\) −2.09540e6 3.62934e6i −0.0208731 0.0361532i
\(61\) −5.24475e7 9.08417e7i −0.484998 0.840042i 0.514853 0.857278i \(-0.327846\pi\)
−0.999851 + 0.0172366i \(0.994513\pi\)
\(62\) 1.21693e7 2.10779e7i 0.104593 0.181161i
\(63\) −4.30408e7 + 7.45489e7i −0.344229 + 0.596223i
\(64\) −1.05520e8 −0.786186
\(65\) −3.97391e7 −0.276127
\(66\) 1.16984e6 2.02623e6i 0.00758892 0.0131444i
\(67\) −1.37865e8 + 2.38789e8i −0.835830 + 1.44770i 0.0575235 + 0.998344i \(0.481680\pi\)
−0.893353 + 0.449355i \(0.851654\pi\)
\(68\) 9.90717e7 + 1.71597e8i 0.561901 + 0.973240i
\(69\) 1.13349e7 + 1.96326e7i 0.0601999 + 0.104269i
\(70\) 8.35879e6 0.0416104
\(71\) 1.39933e8 + 2.42371e8i 0.653518 + 1.13193i 0.982263 + 0.187508i \(0.0600411\pi\)
−0.328745 + 0.944419i \(0.606626\pi\)
\(72\) −4.20691e7 7.28659e7i −0.184488 0.319542i
\(73\) 8.73252e7 + 1.51252e8i 0.359904 + 0.623372i 0.987944 0.154809i \(-0.0494761\pi\)
−0.628041 + 0.778181i \(0.716143\pi\)
\(74\) 2.40928e7 4.17300e7i 0.0933996 0.161773i
\(75\) −3.47536e7 −0.126830
\(76\) −1.92445e8 + 3.33325e8i −0.661676 + 1.14606i
\(77\) −6.11530e7 1.05920e8i −0.198248 0.343376i
\(78\) 7.85153e6 0.0240175
\(79\) −1.14255e8 1.97896e8i −0.330031 0.571631i 0.652486 0.757800i \(-0.273726\pi\)
−0.982518 + 0.186170i \(0.940393\pi\)
\(80\) 5.04487e7 8.73797e7i 0.137703 0.238509i
\(81\) −1.82358e8 + 3.15854e8i −0.470699 + 0.815274i
\(82\) 3.89014e7 0.0950174
\(83\) 3.61730e8 6.26535e8i 0.836629 1.44908i −0.0560674 0.998427i \(-0.517856\pi\)
0.892697 0.450658i \(-0.148810\pi\)
\(84\) 4.32835e7 0.0948563
\(85\) −1.73536e8 −0.360582
\(86\) −8.17429e7 5.26847e7i −0.161141 0.103858i
\(87\) 5.36440e7 0.100389
\(88\) 1.19545e8 0.212500
\(89\) 4.13765e8 7.16662e8i 0.699034 1.21076i −0.269767 0.962926i \(-0.586947\pi\)
0.968802 0.247838i \(-0.0797200\pi\)
\(90\) 3.61548e7 0.0580865
\(91\) 2.05218e8 3.55447e8i 0.313710 0.543361i
\(92\) −2.84153e8 + 4.92168e8i −0.413531 + 0.716256i
\(93\) 5.51894e7 + 9.55909e7i 0.0765038 + 0.132508i
\(94\) −1.42165e8 −0.187809
\(95\) −1.68545e8 2.91929e8i −0.212305 0.367723i
\(96\) −3.19278e7 + 5.53006e7i −0.0383662 + 0.0664521i
\(97\) 1.08266e9 1.24170 0.620852 0.783928i \(-0.286787\pi\)
0.620852 + 0.783928i \(0.286787\pi\)
\(98\) 4.43597e7 7.68332e7i 0.0485815 0.0841457i
\(99\) −2.64509e8 4.58143e8i −0.276747 0.479339i
\(100\) −4.35618e8 7.54512e8i −0.435618 0.754512i
\(101\) −1.18976e7 2.06073e7i −0.0113766 0.0197049i 0.860281 0.509820i \(-0.170288\pi\)
−0.871658 + 0.490115i \(0.836955\pi\)
\(102\) 3.42867e7 0.0313635
\(103\) −6.11800e8 1.05967e9i −0.535601 0.927689i −0.999134 0.0416089i \(-0.986752\pi\)
0.463533 0.886080i \(-0.346582\pi\)
\(104\) 2.00585e8 + 3.47423e8i 0.168131 + 0.291211i
\(105\) −1.89541e7 + 3.28294e7i −0.0152178 + 0.0263579i
\(106\) −9.90345e7 + 1.71533e8i −0.0761921 + 0.131969i
\(107\) −9.50953e8 −0.701345 −0.350673 0.936498i \(-0.614047\pi\)
−0.350673 + 0.936498i \(0.614047\pi\)
\(108\) 3.78189e8 0.267487
\(109\) 4.35845e8 7.54905e8i 0.295742 0.512239i −0.679416 0.733754i \(-0.737767\pi\)
0.975157 + 0.221514i \(0.0710999\pi\)
\(110\) −2.56846e7 + 4.44871e7i −0.0167266 + 0.0289712i
\(111\) 1.09264e8 + 1.89251e8i 0.0683162 + 0.118327i
\(112\) 5.21046e8 + 9.02478e8i 0.312892 + 0.541945i
\(113\) 4.73695e8 0.273304 0.136652 0.990619i \(-0.456366\pi\)
0.136652 + 0.990619i \(0.456366\pi\)
\(114\) 3.33006e7 + 5.76784e7i 0.0184663 + 0.0319846i
\(115\) −2.48864e8 4.31046e8i −0.132685 0.229817i
\(116\) 6.72399e8 + 1.16463e9i 0.344799 + 0.597210i
\(117\) 8.87641e8 1.53744e9i 0.437926 0.758511i
\(118\) 4.33160e8 0.205674
\(119\) 8.96160e8 1.55220e9i 0.409661 0.709553i
\(120\) −1.85262e7 3.20883e7i −0.00815587 0.0141264i
\(121\) −1.60631e9 −0.681233
\(122\) −2.27513e8 3.94064e8i −0.0929795 0.161045i
\(123\) −8.82115e7 + 1.52787e8i −0.0347498 + 0.0601884i
\(124\) −1.38354e9 + 2.39636e9i −0.525526 + 0.910238i
\(125\) 1.60666e9 0.588611
\(126\) −1.86708e8 + 3.23387e8i −0.0659925 + 0.114302i
\(127\) 6.43419e8 0.219471 0.109736 0.993961i \(-0.465000\pi\)
0.109736 + 0.993961i \(0.465000\pi\)
\(128\) −2.11961e9 −0.697928
\(129\) 3.92278e8 2.01582e8i 0.124721 0.0640912i
\(130\) −1.72385e8 −0.0529365
\(131\) −2.94401e9 −0.873411 −0.436706 0.899604i \(-0.643855\pi\)
−0.436706 + 0.899604i \(0.643855\pi\)
\(132\) −1.33000e8 + 2.30364e8i −0.0381303 + 0.0660436i
\(133\) 3.48155e9 0.964807
\(134\) −5.98048e8 + 1.03585e9i −0.160238 + 0.277540i
\(135\) −1.65611e8 + 2.86847e8i −0.0429129 + 0.0743272i
\(136\) 8.75929e8 + 1.51715e9i 0.219555 + 0.380281i
\(137\) −3.38616e9 −0.821231 −0.410615 0.911809i \(-0.634686\pi\)
−0.410615 + 0.911809i \(0.634686\pi\)
\(138\) 4.91698e7 + 8.51646e7i 0.0115410 + 0.0199896i
\(139\) −1.62404e9 + 2.81292e9i −0.369003 + 0.639132i −0.989410 0.145148i \(-0.953634\pi\)
0.620407 + 0.784280i \(0.286967\pi\)
\(140\) −9.50318e8 −0.209070
\(141\) 3.22367e8 5.58357e8i 0.0686855 0.118967i
\(142\) 6.07019e8 + 1.05139e9i 0.125287 + 0.217003i
\(143\) 1.26117e9 + 2.18442e9i 0.252210 + 0.436841i
\(144\) 2.25371e9 + 3.90355e9i 0.436785 + 0.756534i
\(145\) −1.17779e9 −0.221264
\(146\) 3.78810e8 + 6.56118e8i 0.0689975 + 0.119507i
\(147\) 2.01177e8 + 3.48449e8i 0.0355345 + 0.0615475i
\(148\) −2.73913e9 + 4.74432e9i −0.469284 + 0.812823i
\(149\) −5.27498e9 + 9.13653e9i −0.876763 + 1.51860i −0.0218904 + 0.999760i \(0.506968\pi\)
−0.854873 + 0.518838i \(0.826365\pi\)
\(150\) −1.50758e8 −0.0243148
\(151\) 1.02555e10 1.60532 0.802658 0.596439i \(-0.203418\pi\)
0.802658 + 0.596439i \(0.203418\pi\)
\(152\) −1.70148e9 + 2.94704e9i −0.258541 + 0.447807i
\(153\) 3.87622e9 6.71381e9i 0.571870 0.990508i
\(154\) −2.65277e8 4.59473e8i −0.0380064 0.0658290i
\(155\) −1.21172e9 2.09876e9i −0.168620 0.292059i
\(156\) −8.92647e8 −0.120676
\(157\) −6.60243e9 1.14358e10i −0.867273 1.50216i −0.864773 0.502164i \(-0.832538\pi\)
−0.00250008 0.999997i \(-0.500796\pi\)
\(158\) −4.95631e8 8.58459e8i −0.0632706 0.109588i
\(159\) −4.49134e8 7.77923e8i −0.0557300 0.0965272i
\(160\) 7.00995e8 1.21416e9i 0.0845619 0.146466i
\(161\) 5.14066e9 0.602979
\(162\) −7.91057e8 + 1.37015e9i −0.0902381 + 0.156297i
\(163\) −2.94251e9 5.09657e9i −0.326492 0.565501i 0.655321 0.755351i \(-0.272533\pi\)
−0.981813 + 0.189849i \(0.939200\pi\)
\(164\) −4.42274e9 −0.477413
\(165\) −1.16483e8 2.01755e8i −0.0122345 0.0211907i
\(166\) 1.56916e9 2.71786e9i 0.160391 0.277805i
\(167\) −3.10415e9 + 5.37655e9i −0.308830 + 0.534909i −0.978107 0.208104i \(-0.933271\pi\)
0.669277 + 0.743013i \(0.266604\pi\)
\(168\) 3.82686e8 0.0370638
\(169\) 1.07000e9 1.85329e9i 0.100900 0.174764i
\(170\) −7.52786e8 −0.0691276
\(171\) 1.50590e10 1.34683
\(172\) 9.29342e9 + 5.98977e9i 0.809651 + 0.521834i
\(173\) 5.08044e9 0.431215 0.215607 0.976480i \(-0.430827\pi\)
0.215607 + 0.976480i \(0.430827\pi\)
\(174\) 2.32704e8 0.0192456
\(175\) −3.94041e9 + 6.82499e9i −0.317593 + 0.550086i
\(176\) −6.40422e9 −0.503106
\(177\) −9.82219e8 + 1.70125e9i −0.0752192 + 0.130283i
\(178\) 1.79488e9 3.10882e9i 0.134013 0.232117i
\(179\) −9.74106e9 1.68720e10i −0.709198 1.22837i −0.965155 0.261679i \(-0.915724\pi\)
0.255957 0.966688i \(-0.417610\pi\)
\(180\) −4.11047e9 −0.291854
\(181\) −8.80620e9 1.52528e10i −0.609866 1.05632i −0.991262 0.131908i \(-0.957890\pi\)
0.381396 0.924412i \(-0.375444\pi\)
\(182\) 8.90218e8 1.54190e9i 0.0601416 0.104168i
\(183\) 2.06360e9 0.136018
\(184\) −2.51230e9 + 4.35144e9i −0.161582 + 0.279868i
\(185\) −2.39896e9 4.15512e9i −0.150574 0.260802i
\(186\) 2.39408e8 + 4.14666e8i 0.0146666 + 0.0254033i
\(187\) 5.50739e9 + 9.53909e9i 0.329351 + 0.570453i
\(188\) 1.61628e10 0.943641
\(189\) −1.71047e9 2.96262e9i −0.0975074 0.168888i
\(190\) −7.31137e8 1.26637e9i −0.0407012 0.0704966i
\(191\) 3.45098e9 5.97727e9i 0.187626 0.324977i −0.756833 0.653609i \(-0.773254\pi\)
0.944458 + 0.328632i \(0.106587\pi\)
\(192\) 1.03795e9 1.79778e9i 0.0551215 0.0954732i
\(193\) 2.26422e10 1.17466 0.587329 0.809348i \(-0.300180\pi\)
0.587329 + 0.809348i \(0.300180\pi\)
\(194\) 4.69649e9 0.238048
\(195\) 3.90895e8 6.77049e8i 0.0193599 0.0335324i
\(196\) −5.04329e9 + 8.73524e9i −0.244097 + 0.422788i
\(197\) −7.58769e9 1.31423e10i −0.358932 0.621688i 0.628851 0.777526i \(-0.283526\pi\)
−0.987783 + 0.155838i \(0.950192\pi\)
\(198\) −1.14742e9 1.98739e9i −0.0530554 0.0918946i
\(199\) −2.34777e10 −1.06125 −0.530625 0.847607i \(-0.678043\pi\)
−0.530625 + 0.847607i \(0.678043\pi\)
\(200\) −3.85145e9 6.67091e9i −0.170212 0.294816i
\(201\) −2.71223e9 4.69771e9i −0.117204 0.203004i
\(202\) −5.16110e7 8.93928e7i −0.00218103 0.00377765i
\(203\) 6.08224e9 1.05347e10i 0.251380 0.435403i
\(204\) −3.89808e9 −0.157585
\(205\) 1.93674e9 3.35453e9i 0.0765912 0.132660i
\(206\) −2.65394e9 4.59676e9i −0.102681 0.177848i
\(207\) 2.22352e10 0.841735
\(208\) −1.07457e10 1.86120e10i −0.398059 0.689459i
\(209\) −1.06980e10 + 1.85295e10i −0.387833 + 0.671747i
\(210\) −8.22214e7 + 1.42412e8i −0.00291741 + 0.00505311i
\(211\) 1.61108e10 0.559558 0.279779 0.960064i \(-0.409739\pi\)
0.279779 + 0.960064i \(0.409739\pi\)
\(212\) 1.12593e10 1.95017e10i 0.382825 0.663073i
\(213\) −5.50582e9 −0.183279
\(214\) −4.12516e9 −0.134456
\(215\) −8.61272e9 + 4.42587e9i −0.274895 + 0.141262i
\(216\) 3.34371e9 0.104517
\(217\) 2.50298e10 0.766283
\(218\) 1.89066e9 3.27472e9i 0.0566969 0.0982019i
\(219\) −3.43590e9 −0.100935
\(220\) 2.92011e9 5.05778e9i 0.0840421 0.145565i
\(221\) −1.84817e10 + 3.20113e10i −0.521168 + 0.902689i
\(222\) 4.73979e8 + 8.20956e8i 0.0130970 + 0.0226846i
\(223\) 1.08563e10 0.293976 0.146988 0.989138i \(-0.453042\pi\)
0.146988 + 0.989138i \(0.453042\pi\)
\(224\) 7.24004e9 + 1.25401e10i 0.192143 + 0.332802i
\(225\) −1.70437e10 + 2.95206e10i −0.443346 + 0.767899i
\(226\) 2.05485e9 0.0523954
\(227\) −1.58099e10 + 2.73835e10i −0.395195 + 0.684499i −0.993126 0.117049i \(-0.962656\pi\)
0.597931 + 0.801548i \(0.295990\pi\)
\(228\) −3.78598e9 6.55751e9i −0.0927836 0.160706i
\(229\) −1.18204e10 2.04736e10i −0.284036 0.491966i 0.688339 0.725390i \(-0.258340\pi\)
−0.972375 + 0.233424i \(0.925007\pi\)
\(230\) −1.07955e9 1.86984e9i −0.0254372 0.0440585i
\(231\) 2.40613e9 0.0555988
\(232\) 5.94493e9 + 1.02969e10i 0.134726 + 0.233352i
\(233\) 3.90436e10 + 6.76254e10i 0.867856 + 1.50317i 0.864183 + 0.503178i \(0.167836\pi\)
0.00367298 + 0.999993i \(0.498831\pi\)
\(234\) 3.85052e9 6.66930e9i 0.0839553 0.145415i
\(235\) −7.07778e9 + 1.22591e10i −0.151388 + 0.262212i
\(236\) −4.92464e10 −1.03340
\(237\) 4.49550e9 0.0925573
\(238\) 3.88748e9 6.73331e9i 0.0785365 0.136029i
\(239\) −3.05888e10 + 5.29814e10i −0.606419 + 1.05035i 0.385407 + 0.922747i \(0.374061\pi\)
−0.991826 + 0.127601i \(0.959272\pi\)
\(240\) 9.92479e8 + 1.71902e9i 0.0193095 + 0.0334450i
\(241\) 1.73335e10 + 3.00226e10i 0.330987 + 0.573286i 0.982706 0.185175i \(-0.0592851\pi\)
−0.651719 + 0.758461i \(0.725952\pi\)
\(242\) −6.96805e9 −0.130600
\(243\) −1.11343e10 1.92853e10i −0.204850 0.354811i
\(244\) 2.58662e10 + 4.48015e10i 0.467173 + 0.809168i
\(245\) −4.41697e9 7.65041e9i −0.0783207 0.135655i
\(246\) −3.82655e8 + 6.62777e8i −0.00666191 + 0.0115388i
\(247\) −7.18009e10 −1.22742
\(248\) −1.22324e10 + 2.11871e10i −0.205342 + 0.355664i
\(249\) 7.11633e9 + 1.23258e10i 0.117316 + 0.203198i
\(250\) 6.96956e9 0.112843
\(251\) −3.05734e10 5.29547e10i −0.486197 0.842118i 0.513677 0.857984i \(-0.328283\pi\)
−0.999874 + 0.0158657i \(0.994950\pi\)
\(252\) 2.12270e10 3.67662e10i 0.331578 0.574310i
\(253\) −1.57961e10 + 2.73596e10i −0.242386 + 0.419824i
\(254\) 2.79110e9 0.0420750
\(255\) 1.70699e9 2.95659e9i 0.0252813 0.0437886i
\(256\) 4.48316e10 0.652385
\(257\) 1.77181e10 0.253348 0.126674 0.991944i \(-0.459570\pi\)
0.126674 + 0.991944i \(0.459570\pi\)
\(258\) 1.70167e9 8.74449e8i 0.0239104 0.0122870i
\(259\) 4.95541e10 0.684274
\(260\) 1.95986e10 0.265978
\(261\) 2.63079e10 4.55666e10i 0.350917 0.607806i
\(262\) −1.27709e10 −0.167443
\(263\) −5.75872e10 + 9.97440e10i −0.742207 + 1.28554i 0.209281 + 0.977856i \(0.432888\pi\)
−0.951488 + 0.307685i \(0.900446\pi\)
\(264\) −1.17591e9 + 2.03673e9i −0.0148989 + 0.0258057i
\(265\) 9.86102e9 + 1.70798e10i 0.122833 + 0.212753i
\(266\) 1.51027e10 0.184964
\(267\) 8.14001e9 + 1.40989e10i 0.0980222 + 0.169779i
\(268\) 6.79927e10 1.17767e11i 0.805110 1.39449i
\(269\) −1.16396e11 −1.35536 −0.677680 0.735357i \(-0.737015\pi\)
−0.677680 + 0.735357i \(0.737015\pi\)
\(270\) −7.18408e8 + 1.24432e9i −0.00822687 + 0.0142493i
\(271\) 2.07639e10 + 3.59641e10i 0.233855 + 0.405049i 0.958939 0.283611i \(-0.0915326\pi\)
−0.725084 + 0.688660i \(0.758199\pi\)
\(272\) −4.69250e10 8.12765e10i −0.519809 0.900336i
\(273\) 4.03725e9 + 6.99273e9i 0.0439900 + 0.0761929i
\(274\) −1.46889e10 −0.157439
\(275\) −2.42160e10 4.19433e10i −0.255332 0.442248i
\(276\) −5.59016e9 9.68244e9i −0.0579874 0.100437i
\(277\) 2.22299e10 3.85034e10i 0.226871 0.392952i −0.730008 0.683439i \(-0.760484\pi\)
0.956879 + 0.290486i \(0.0938171\pi\)
\(278\) −7.04496e9 + 1.22022e10i −0.0707419 + 0.122529i
\(279\) 1.08263e11 1.06970
\(280\) −8.40210e9 −0.0816915
\(281\) 5.49514e10 9.51786e10i 0.525775 0.910670i −0.473774 0.880647i \(-0.657109\pi\)
0.999549 0.0300232i \(-0.00955813\pi\)
\(282\) 1.39841e9 2.42211e9i 0.0131678 0.0228072i
\(283\) 2.35652e10 + 4.08161e10i 0.218390 + 0.378262i 0.954316 0.298800i \(-0.0965863\pi\)
−0.735926 + 0.677062i \(0.763253\pi\)
\(284\) −6.90125e10 1.19533e11i −0.629499 1.09032i
\(285\) 6.63160e9 0.0595410
\(286\) 5.47088e9 + 9.47583e9i 0.0483515 + 0.0837472i
\(287\) 2.00031e10 + 3.46464e10i 0.174032 + 0.301432i
\(288\) 3.13158e10 + 5.42406e10i 0.268224 + 0.464578i
\(289\) −2.14136e10 + 3.70894e10i −0.180572 + 0.312759i
\(290\) −5.10916e9 −0.0424188
\(291\) −1.06496e10 + 1.84456e10i −0.0870591 + 0.150791i
\(292\) −4.30672e10 7.45946e10i −0.346676 0.600461i
\(293\) 5.66181e10 0.448798 0.224399 0.974497i \(-0.427958\pi\)
0.224399 + 0.974497i \(0.427958\pi\)
\(294\) 8.72690e8 + 1.51154e9i 0.00681235 + 0.0117993i
\(295\) 2.15652e10 3.73521e10i 0.165789 0.287155i
\(296\) −2.42177e10 + 4.19462e10i −0.183366 + 0.317600i
\(297\) 2.10235e10 0.156784
\(298\) −2.28824e10 + 3.96336e10i −0.168085 + 0.291132i
\(299\) −1.06017e11 −0.767106
\(300\) 1.71398e10 0.122169
\(301\) 4.88986e9 9.98923e10i 0.0343358 0.701428i
\(302\) 4.44876e10 0.307757
\(303\) 4.68124e8 0.00319058
\(304\) 9.11510e10 1.57878e11i 0.612111 1.06021i
\(305\) −4.53077e10 −0.299794
\(306\) 1.68148e10 2.91240e10i 0.109634 0.189891i
\(307\) 5.54921e10 9.61151e10i 0.356540 0.617545i −0.630840 0.775913i \(-0.717290\pi\)
0.987380 + 0.158367i \(0.0506230\pi\)
\(308\) 3.01596e10 + 5.22379e10i 0.190962 + 0.330756i
\(309\) 2.40719e10 0.150210
\(310\) −5.25635e9 9.10426e9i −0.0323263 0.0559908i
\(311\) 1.87005e10 3.23902e10i 0.113353 0.196333i −0.803767 0.594944i \(-0.797174\pi\)
0.917120 + 0.398611i \(0.130508\pi\)
\(312\) −7.89222e9 −0.0471524
\(313\) 6.77317e10 1.17315e11i 0.398880 0.690881i −0.594708 0.803942i \(-0.702732\pi\)
0.993588 + 0.113061i \(0.0360656\pi\)
\(314\) −2.86409e10 4.96074e10i −0.166266 0.287981i
\(315\) 1.85908e10 + 3.22002e10i 0.106390 + 0.184273i
\(316\) 5.63488e10 + 9.75989e10i 0.317901 + 0.550621i
\(317\) −2.59074e11 −1.44098 −0.720488 0.693467i \(-0.756082\pi\)
−0.720488 + 0.693467i \(0.756082\pi\)
\(318\) −1.94831e9 3.37457e9i −0.0106841 0.0185053i
\(319\) 3.73787e10 + 6.47417e10i 0.202100 + 0.350047i
\(320\) −2.27889e10 + 3.94715e10i −0.121492 + 0.210430i
\(321\) 9.35407e9 1.62017e10i 0.0491731 0.0851703i
\(322\) 2.22998e10 0.115598
\(323\) −3.13546e11 −1.60284
\(324\) 8.99359e10 1.55774e11i 0.453399 0.785310i
\(325\) 8.12641e10 1.40754e11i 0.404039 0.699816i
\(326\) −1.27644e10 2.21085e10i −0.0625922 0.108413i
\(327\) 8.57439e9 + 1.48513e10i 0.0414704 + 0.0718288i
\(328\) −3.91030e10 −0.186543
\(329\) −7.31010e10 1.26615e11i −0.343987 0.595803i
\(330\) −5.05295e8 8.75197e8i −0.00234548 0.00406250i
\(331\) 1.38901e11 + 2.40584e11i 0.636034 + 1.10164i 0.986295 + 0.164990i \(0.0527593\pi\)
−0.350262 + 0.936652i \(0.613907\pi\)
\(332\) −1.78399e11 + 3.08996e11i −0.805881 + 1.39583i
\(333\) 2.14339e11 0.955219
\(334\) −1.34656e10 + 2.33231e10i −0.0592060 + 0.102548i
\(335\) 5.95486e10 + 1.03141e11i 0.258327 + 0.447436i
\(336\) −2.05011e10 −0.0877507
\(337\) 3.67677e10 + 6.36835e10i 0.155286 + 0.268963i 0.933163 0.359453i \(-0.117037\pi\)
−0.777877 + 0.628416i \(0.783703\pi\)
\(338\) 4.64157e9 8.03943e9i 0.0193437 0.0335043i
\(339\) −4.65951e9 + 8.07051e9i −0.0191620 + 0.0331896i
\(340\) 8.55849e10 0.347330
\(341\) −7.69110e10 + 1.33214e11i −0.308031 + 0.533525i
\(342\) 6.53247e10 0.258202
\(343\) 2.71261e11 1.05819
\(344\) 8.21665e10 + 5.29577e10i 0.316360 + 0.203900i
\(345\) 9.79184e9 0.0372116
\(346\) 2.20386e10 0.0826686
\(347\) −2.54070e11 + 4.40063e11i −0.940744 + 1.62942i −0.176688 + 0.984267i \(0.556538\pi\)
−0.764056 + 0.645150i \(0.776795\pi\)
\(348\) −2.64563e10 −0.0966990
\(349\) −1.80483e11 + 3.12605e11i −0.651210 + 1.12793i 0.331620 + 0.943413i \(0.392405\pi\)
−0.982830 + 0.184516i \(0.940928\pi\)
\(350\) −1.70932e10 + 2.96063e10i −0.0608860 + 0.105458i
\(351\) 3.52755e10 + 6.10989e10i 0.124048 + 0.214858i
\(352\) −8.89880e10 −0.308951
\(353\) −1.93037e11 3.34350e11i −0.661690 1.14608i −0.980171 0.198151i \(-0.936506\pi\)
0.318482 0.947929i \(-0.396827\pi\)
\(354\) −4.26079e9 + 7.37991e9i −0.0144203 + 0.0249768i
\(355\) 1.20884e11 0.403962
\(356\) −2.04062e11 + 3.53445e11i −0.673343 + 1.16626i
\(357\) 1.76302e10 + 3.05364e10i 0.0574447 + 0.0994972i
\(358\) −4.22560e10 7.31895e10i −0.135961 0.235492i
\(359\) −1.37180e10 2.37603e10i −0.0435879 0.0754965i 0.843408 0.537273i \(-0.180546\pi\)
−0.886996 + 0.461777i \(0.847212\pi\)
\(360\) −3.63422e10 −0.114038
\(361\) −1.43185e11 2.48003e11i −0.443726 0.768555i
\(362\) −3.82006e10 6.61654e10i −0.116918 0.202508i
\(363\) 1.58005e10 2.73673e10i 0.0477630 0.0827279i
\(364\) −1.01210e11 + 1.75300e11i −0.302180 + 0.523391i
\(365\) 7.54374e10 0.222469
\(366\) 8.95175e9 0.0260761
\(367\) 3.17268e10 5.49525e10i 0.0912913 0.158121i −0.816763 0.576973i \(-0.804234\pi\)
0.908055 + 0.418852i \(0.137567\pi\)
\(368\) 1.34588e11 2.33114e11i 0.382554 0.662602i
\(369\) 8.65207e10 + 1.49858e11i 0.242941 + 0.420787i
\(370\) −1.04065e10 1.80246e10i −0.0288667 0.0499986i
\(371\) −2.03694e11 −0.558207
\(372\) −2.72185e10 4.71438e10i −0.0736920 0.127638i
\(373\) −2.92118e9 5.05963e9i −0.00781391 0.0135341i 0.862092 0.506752i \(-0.169154\pi\)
−0.869906 + 0.493218i \(0.835821\pi\)
\(374\) 2.38907e10 + 4.13798e10i 0.0631402 + 0.109362i
\(375\) −1.58039e10 + 2.73732e10i −0.0412690 + 0.0714800i
\(376\) 1.42901e11 0.368715
\(377\) −1.25436e11 + 2.17261e11i −0.319804 + 0.553917i
\(378\) −7.41989e9 1.28516e10i −0.0186932 0.0323776i
\(379\) 4.41769e11 1.09981 0.549907 0.835226i \(-0.314663\pi\)
0.549907 + 0.835226i \(0.314663\pi\)
\(380\) 8.31236e10 + 1.43974e11i 0.204502 + 0.354208i
\(381\) −6.32900e9 + 1.09622e10i −0.0153877 + 0.0266522i
\(382\) 1.49701e10 2.59289e10i 0.0359699 0.0623017i
\(383\) 2.41257e11 0.572909 0.286455 0.958094i \(-0.407523\pi\)
0.286455 + 0.958094i \(0.407523\pi\)
\(384\) 2.08496e10 3.61125e10i 0.0489336 0.0847554i
\(385\) −5.28281e10 −0.122544
\(386\) 9.82203e10 0.225195
\(387\) 2.11505e10 4.32071e11i 0.0479314 0.979164i
\(388\) −5.33948e11 −1.19607
\(389\) 6.62506e11 1.46695 0.733477 0.679714i \(-0.237896\pi\)
0.733477 + 0.679714i \(0.237896\pi\)
\(390\) 1.69567e9 2.93699e9i 0.00371151 0.00642853i
\(391\) −4.62964e11 −1.00173
\(392\) −4.45896e10 + 7.72314e10i −0.0953775 + 0.165199i
\(393\) 2.89588e10 5.01582e10i 0.0612371 0.106066i
\(394\) −3.29148e10 5.70102e10i −0.0688111 0.119184i
\(395\) −9.87016e10 −0.204003
\(396\) 1.30451e11 + 2.25948e11i 0.266575 + 0.461722i
\(397\) 3.63106e11 6.28917e11i 0.733628 1.27068i −0.221695 0.975116i \(-0.571159\pi\)
0.955323 0.295564i \(-0.0955077\pi\)
\(398\) −1.01845e11 −0.203453
\(399\) −3.42463e10 + 5.93164e10i −0.0676451 + 0.117165i
\(400\) 2.06329e11 + 3.57372e11i 0.402986 + 0.697993i
\(401\) −4.58296e11 7.93793e11i −0.885109 1.53305i −0.845588 0.533835i \(-0.820750\pi\)
−0.0395207 0.999219i \(-0.512583\pi\)
\(402\) −1.17654e10 2.03783e10i −0.0224694 0.0389181i
\(403\) −5.16197e11 −0.974861
\(404\) 5.86769e9 + 1.01631e10i 0.0109585 + 0.0189807i
\(405\) 7.87668e10 + 1.36428e11i 0.145477 + 0.251974i
\(406\) 2.63843e10 4.56989e10i 0.0481924 0.0834716i
\(407\) −1.52268e11 + 2.63736e11i −0.275065 + 0.476426i
\(408\) −3.44644e10 −0.0615743
\(409\) 3.18383e11 0.562593 0.281297 0.959621i \(-0.409235\pi\)
0.281297 + 0.959621i \(0.409235\pi\)
\(410\) 8.40143e9 1.45517e10i 0.0146834 0.0254323i
\(411\) 3.33080e10 5.76912e10i 0.0575786 0.0997290i
\(412\) 3.01729e11 + 5.22610e11i 0.515916 + 0.893593i
\(413\) 2.22731e11 + 3.85781e11i 0.376708 + 0.652478i
\(414\) 9.64548e10 0.161370
\(415\) −1.56244e11 2.70622e11i −0.258574 0.447864i
\(416\) −1.49313e11 2.58618e11i −0.244443 0.423388i
\(417\) −3.19498e10 5.53387e10i −0.0517435 0.0896224i
\(418\) −4.64072e10 + 8.03796e10i −0.0743519 + 0.128781i
\(419\) −6.44651e11 −1.02179 −0.510895 0.859643i \(-0.670686\pi\)
−0.510895 + 0.859643i \(0.670686\pi\)
\(420\) 9.34782e9 1.61909e10i 0.0146585 0.0253892i
\(421\) 5.78778e10 + 1.00247e11i 0.0897931 + 0.155526i 0.907424 0.420217i \(-0.138046\pi\)
−0.817631 + 0.575743i \(0.804713\pi\)
\(422\) 6.98872e10 0.107273
\(423\) −3.16189e11 5.47655e11i −0.480192 0.831717i
\(424\) 9.95477e10 1.72422e11i 0.149584 0.259087i
\(425\) 3.54871e11 6.14654e11i 0.527618 0.913862i
\(426\) −2.38838e10 −0.0351367
\(427\) 2.33974e11 4.05255e11i 0.340599 0.589934i
\(428\) 4.68993e11 0.675569
\(429\) −4.96222e10 −0.0707324
\(430\) −3.73613e10 + 1.91991e10i −0.0527004 + 0.0270815i
\(431\) 8.53812e11 1.19183 0.595915 0.803047i \(-0.296789\pi\)
0.595915 + 0.803047i \(0.296789\pi\)
\(432\) −1.79128e11 −0.247450
\(433\) 2.87929e11 4.98708e11i 0.393632 0.681791i −0.599293 0.800529i \(-0.704552\pi\)
0.992926 + 0.118739i \(0.0378851\pi\)
\(434\) 1.08578e11 0.146905
\(435\) 1.15853e10 2.00664e10i 0.0155134 0.0268700i
\(436\) −2.14951e11 + 3.72306e11i −0.284872 + 0.493413i
\(437\) −4.49650e11 7.78816e11i −0.589804 1.02157i
\(438\) −1.49047e10 −0.0193504
\(439\) 8.18733e10 + 1.41809e11i 0.105209 + 0.182227i 0.913823 0.406112i \(-0.133116\pi\)
−0.808615 + 0.588339i \(0.799782\pi\)
\(440\) 2.58178e10 4.47177e10i 0.0328384 0.0568777i
\(441\) 3.94642e11 0.496855
\(442\) −8.01724e10 + 1.38863e11i −0.0999136 + 0.173055i
\(443\) 3.12651e11 + 5.41528e11i 0.385695 + 0.668043i 0.991865 0.127292i \(-0.0406285\pi\)
−0.606171 + 0.795335i \(0.707295\pi\)
\(444\) −5.38871e10 9.33352e10i −0.0658054 0.113978i
\(445\) −1.78719e11 3.09551e11i −0.216048 0.374207i
\(446\) 4.70940e10 0.0563584
\(447\) −1.03775e11 1.79743e11i −0.122944 0.212946i
\(448\) −2.35369e11 4.07671e11i −0.276056 0.478144i
\(449\) 1.52186e11 2.63593e11i 0.176712 0.306074i −0.764041 0.645168i \(-0.776787\pi\)
0.940752 + 0.339094i \(0.110121\pi\)
\(450\) −7.39344e10 + 1.28058e11i −0.0849944 + 0.147215i
\(451\) −2.45860e11 −0.279829
\(452\) −2.33618e11 −0.263259
\(453\) −1.00878e11 + 1.74727e11i −0.112553 + 0.194947i
\(454\) −6.85820e10 + 1.18788e11i −0.0757633 + 0.131226i
\(455\) −8.86405e10 1.53530e11i −0.0969573 0.167935i
\(456\) −3.34732e10 5.79773e10i −0.0362540 0.0627937i
\(457\) 5.48924e11 0.588693 0.294347 0.955699i \(-0.404898\pi\)
0.294347 + 0.955699i \(0.404898\pi\)
\(458\) −5.12762e10 8.88130e10i −0.0544529 0.0943152i
\(459\) 1.54044e11 + 2.66812e11i 0.161989 + 0.280574i
\(460\) 1.22736e11 + 2.12584e11i 0.127809 + 0.221371i
\(461\) 8.37352e11 1.45034e12i 0.863484 1.49560i −0.00506130 0.999987i \(-0.501611\pi\)
0.868545 0.495610i \(-0.165056\pi\)
\(462\) 1.04376e10 0.0106589
\(463\) −5.66952e11 + 9.81990e11i −0.573366 + 0.993099i 0.422851 + 0.906199i \(0.361029\pi\)
−0.996217 + 0.0868996i \(0.972304\pi\)
\(464\) −3.18480e11 5.51623e11i −0.318971 0.552474i
\(465\) 4.76764e10 0.0472896
\(466\) 1.69368e11 + 2.93354e11i 0.166378 + 0.288174i
\(467\) −1.49987e11 + 2.59785e11i −0.145924 + 0.252748i −0.929717 0.368274i \(-0.879949\pi\)
0.783793 + 0.621022i \(0.213282\pi\)
\(468\) −4.37769e11 + 7.58238e11i −0.421831 + 0.730633i
\(469\) −1.23007e12 −1.17395
\(470\) −3.07029e10 + 5.31790e10i −0.0290228 + 0.0502689i
\(471\) 2.59780e11 0.243227
\(472\) −4.35405e11 −0.403789
\(473\) 5.16621e11 + 3.32971e11i 0.474566 + 0.305866i
\(474\) 1.95012e10 0.0177443
\(475\) 1.37866e12 1.24261
\(476\) −4.41971e11 + 7.65515e11i −0.394605 + 0.683475i
\(477\) −8.81051e11 −0.779235
\(478\) −1.32692e11 + 2.29829e11i −0.116257 + 0.201363i
\(479\) −5.55196e11 + 9.61627e11i −0.481877 + 0.834635i −0.999784 0.0208017i \(-0.993378\pi\)
0.517907 + 0.855437i \(0.326711\pi\)
\(480\) 1.37907e10 + 2.38862e10i 0.0118577 + 0.0205382i
\(481\) −1.02197e12 −0.870529
\(482\) 7.51916e10 + 1.30236e11i 0.0634538 + 0.109905i
\(483\) −5.05662e10 + 8.75832e10i −0.0422764 + 0.0732249i
\(484\) 7.92204e11 0.656195
\(485\) 2.33818e11 4.04985e11i 0.191885 0.332354i
\(486\) −4.83000e10 8.36580e10i −0.0392720 0.0680212i
\(487\) 6.80044e11 + 1.17787e12i 0.547844 + 0.948893i 0.998422 + 0.0561564i \(0.0178846\pi\)
−0.450578 + 0.892737i \(0.648782\pi\)
\(488\) 2.28692e11 + 3.96107e11i 0.182542 + 0.316172i
\(489\) 1.15776e11 0.0915649
\(490\) −1.91605e10 3.31869e10i −0.0150149 0.0260066i
\(491\) 1.19582e12 + 2.07123e12i 0.928540 + 1.60828i 0.785767 + 0.618523i \(0.212269\pi\)
0.142773 + 0.989755i \(0.454398\pi\)
\(492\) 4.35043e10 7.53517e10i 0.0334726 0.0579763i
\(493\) −5.47762e11 + 9.48751e11i −0.417619 + 0.723338i
\(494\) −3.11467e11 −0.235310
\(495\) −2.28501e11 −0.171066
\(496\) 6.55310e11 1.13503e12i 0.486160 0.842054i
\(497\) −6.24258e11 + 1.08125e12i −0.458945 + 0.794915i
\(498\) 3.08701e10 + 5.34686e10i 0.0224909 + 0.0389553i
\(499\) −6.80702e11 1.17901e12i −0.491478 0.851265i 0.508474 0.861078i \(-0.330210\pi\)
−0.999952 + 0.00981229i \(0.996877\pi\)
\(500\) −7.92375e11 −0.566978
\(501\) −6.10681e10 1.05773e11i −0.0433057 0.0750076i
\(502\) −1.32625e11 2.29714e11i −0.0932093 0.161443i
\(503\) −5.58671e10 9.67646e10i −0.0389135 0.0674001i 0.845913 0.533321i \(-0.179056\pi\)
−0.884826 + 0.465921i \(0.845723\pi\)
\(504\) 1.87675e11 3.25063e11i 0.129560 0.224404i
\(505\) −1.02780e10 −0.00703228
\(506\) −6.85222e10 + 1.18684e11i −0.0464680 + 0.0804849i
\(507\) 2.10501e10 + 3.64598e10i 0.0141488 + 0.0245064i
\(508\) −3.17323e11 −0.211405
\(509\) 9.68930e10 + 1.67824e11i 0.0639826 + 0.110821i 0.896242 0.443565i \(-0.146286\pi\)
−0.832260 + 0.554386i \(0.812953\pi\)
\(510\) 7.40479e9 1.28255e10i 0.00484671 0.00839475i
\(511\) −3.89568e11 + 6.74751e11i −0.252749 + 0.437774i
\(512\) 1.27972e12 0.822998
\(513\) −2.99227e11 + 5.18277e11i −0.190754 + 0.330395i
\(514\) 7.68597e10 0.0485696
\(515\) −5.28514e11 −0.331073
\(516\) −1.93465e11 + 9.94168e10i −0.120137 + 0.0617357i
\(517\) 8.98491e11 0.553103
\(518\) 2.14962e11 0.131183
\(519\) −4.99738e10 + 8.65572e10i −0.0302336 + 0.0523661i
\(520\) 1.73279e11 0.103927
\(521\) 1.13950e12 1.97367e12i 0.677553 1.17356i −0.298163 0.954515i \(-0.596374\pi\)
0.975716 0.219041i \(-0.0702929\pi\)
\(522\) 1.14122e11 1.97665e11i 0.0672746 0.116523i
\(523\) −3.21089e11 5.56142e11i −0.187658 0.325033i 0.756811 0.653634i \(-0.226756\pi\)
−0.944469 + 0.328600i \(0.893423\pi\)
\(524\) 1.45194e12 0.841311
\(525\) −7.75199e10 1.34268e11i −0.0445345 0.0771359i
\(526\) −2.49809e11 + 4.32682e11i −0.142289 + 0.246452i
\(527\) −2.25417e12 −1.27303
\(528\) 6.29952e10 1.09111e11i 0.0352740 0.0610964i
\(529\) 2.36649e11 + 4.09888e11i 0.131388 + 0.227570i
\(530\) 4.27764e10 + 7.40909e10i 0.0235485 + 0.0407871i
\(531\) 9.63393e11 + 1.66865e12i 0.525870 + 0.910833i
\(532\) −1.71704e12 −0.929347
\(533\) −4.12529e11 7.14521e11i −0.221402 0.383480i
\(534\) 3.53108e10 + 6.11600e10i 0.0187919 + 0.0325486i
\(535\) −2.05374e11 + 3.55719e11i −0.108381 + 0.187722i
\(536\) 6.01148e11 1.04122e12i 0.314586 0.544879i
\(537\) 3.83273e11 0.198895
\(538\) −5.04919e11 −0.259837
\(539\) −2.80356e11 + 4.85592e11i −0.143074 + 0.247812i
\(540\) 8.16765e10 1.41468e11i 0.0413357 0.0715955i
\(541\) 3.14332e11 + 5.44439e11i 0.157761 + 0.273251i 0.934061 0.357113i \(-0.116239\pi\)
−0.776300 + 0.630364i \(0.782906\pi\)
\(542\) 9.00721e10 + 1.56010e11i 0.0448326 + 0.0776523i
\(543\) 3.46489e11 0.171037
\(544\) −6.52033e11 1.12935e12i −0.319208 0.552885i
\(545\) −1.88256e11 3.26069e11i −0.0914039 0.158316i
\(546\) 1.75133e10 + 3.03339e10i 0.00843337 + 0.0146070i
\(547\) −9.77940e11 + 1.69384e12i −0.467056 + 0.808965i −0.999292 0.0376310i \(-0.988019\pi\)
0.532235 + 0.846596i \(0.321352\pi\)
\(548\) 1.67000e12 0.791048
\(549\) 1.01202e12 1.75288e12i 0.475462 0.823524i
\(550\) −1.05047e11 1.81947e11i −0.0489499 0.0847837i
\(551\) −2.12803e12 −0.983550
\(552\) −4.94246e10 8.56060e10i −0.0226578 0.0392445i
\(553\) 5.09707e11 8.82838e11i 0.231770 0.401438i
\(554\) 9.64318e10 1.67025e11i 0.0434937 0.0753333i
\(555\) 9.43897e10 0.0422285
\(556\) 8.00948e11 1.38728e12i 0.355441 0.615642i
\(557\) −1.25357e12 −0.551824 −0.275912 0.961183i \(-0.588980\pi\)
−0.275912 + 0.961183i \(0.588980\pi\)
\(558\) 4.69638e11 0.205073
\(559\) −1.00845e11 + 2.06010e12i −0.0436818 + 0.892352i
\(560\) 4.50115e11 0.193409
\(561\) −2.16694e11 −0.0923665
\(562\) 2.38375e11 4.12878e11i 0.100797 0.174585i
\(563\) 1.66089e12 0.696710 0.348355 0.937363i \(-0.386740\pi\)
0.348355 + 0.937363i \(0.386740\pi\)
\(564\) −1.58986e11 + 2.75372e11i −0.0661611 + 0.114594i
\(565\) 1.02303e11 1.77193e11i 0.0422346 0.0731525i
\(566\) 1.02224e11 + 1.77057e11i 0.0418677 + 0.0725170i
\(567\) −1.62704e12 −0.661113
\(568\) −6.10165e11 1.05684e12i −0.245969 0.426030i
\(569\) 8.89297e11 1.54031e12i 0.355665 0.616030i −0.631566 0.775322i \(-0.717588\pi\)
0.987232 + 0.159291i \(0.0509210\pi\)
\(570\) 2.87674e10 0.0114147
\(571\) 4.19235e11 7.26137e11i 0.165042 0.285862i −0.771628 0.636074i \(-0.780557\pi\)
0.936670 + 0.350212i \(0.113891\pi\)
\(572\) −6.21989e11 1.07732e12i −0.242941 0.420786i
\(573\) 6.78912e10 + 1.17591e11i 0.0263098 + 0.0455700i
\(574\) 8.67719e10 + 1.50293e11i 0.0333638 + 0.0577878i
\(575\) 2.03565e12 0.776601
\(576\) −1.01806e12 1.76332e12i −0.385363 0.667469i
\(577\) −7.22343e11 1.25113e12i −0.271302 0.469908i 0.697894 0.716201i \(-0.254121\pi\)
−0.969195 + 0.246293i \(0.920787\pi\)
\(578\) −9.28906e10 + 1.60891e11i −0.0346176 + 0.0599594i
\(579\) −2.22721e11 + 3.85764e11i −0.0823582 + 0.142649i
\(580\) 5.80864e11 0.213132
\(581\) 3.22744e12 1.17508
\(582\) −4.61971e10 + 8.00157e10i −0.0166902 + 0.0289082i
\(583\) 6.25905e11 1.08410e12i 0.224388 0.388652i
\(584\) −3.80773e11 6.59518e11i −0.135459 0.234622i
\(585\) −3.83402e11 6.64073e11i −0.135349 0.234431i
\(586\) 2.45605e11 0.0860396
\(587\) 1.83890e12 + 3.18507e12i 0.639274 + 1.10726i 0.985592 + 0.169138i \(0.0540984\pi\)
−0.346318 + 0.938117i \(0.612568\pi\)
\(588\) −9.92169e10 1.71849e11i −0.0342285 0.0592855i
\(589\) −2.18934e12 3.79205e12i −0.749540 1.29824i
\(590\) 9.35484e10 1.62031e11i 0.0317835 0.0550507i
\(591\) 2.98546e11 0.100662
\(592\) 1.29738e12 2.24713e12i 0.434130 0.751936i
\(593\) −3.23232e10 5.59853e10i −0.0107341 0.0185921i 0.860608 0.509267i \(-0.170084\pi\)
−0.871343 + 0.490675i \(0.836750\pi\)
\(594\) 9.11985e10 0.0300572
\(595\) −3.87082e11 6.70446e11i −0.126613 0.219299i
\(596\) 2.60153e12 4.50597e12i 0.844539 1.46278i
\(597\) 2.30939e11 3.99999e11i 0.0744069 0.128877i
\(598\) −4.59894e11 −0.147063
\(599\) −8.07276e11 + 1.39824e12i −0.256213 + 0.443774i −0.965224 0.261423i \(-0.915808\pi\)
0.709011 + 0.705197i \(0.249142\pi\)
\(600\) 1.51540e11 0.0477360
\(601\) 3.34560e12 1.04602 0.523008 0.852328i \(-0.324810\pi\)
0.523008 + 0.852328i \(0.324810\pi\)
\(602\) 2.12119e10 4.33325e11i 0.00658256 0.134471i
\(603\) −5.32048e12 −1.63879
\(604\) −5.05783e12 −1.54632
\(605\) −3.46910e11 + 6.00866e11i −0.105273 + 0.182339i
\(606\) 2.03069e9 0.000611669
\(607\) −3.41966e11 + 5.92303e11i −0.102243 + 0.177090i −0.912608 0.408835i \(-0.865935\pi\)
0.810365 + 0.585925i \(0.199269\pi\)
\(608\) 1.26656e12 2.19375e12i 0.375890 0.651060i
\(609\) 1.19656e11 + 2.07250e11i 0.0352498 + 0.0610545i
\(610\) −1.96541e11 −0.0574738
\(611\) 1.50758e12 + 2.61121e12i 0.437618 + 0.757976i
\(612\) −1.91168e12 + 3.31114e12i −0.550852 + 0.954104i
\(613\) 6.37095e11 0.182235 0.0911176 0.995840i \(-0.470956\pi\)
0.0911176 + 0.995840i \(0.470956\pi\)
\(614\) 2.40720e11 4.16940e11i 0.0683526 0.118390i
\(615\) 3.81015e10 + 6.59938e10i 0.0107400 + 0.0186022i
\(616\) 2.66652e11 + 4.61855e11i 0.0746159 + 0.129239i
\(617\) −1.14371e12 1.98096e12i −0.317711 0.550292i 0.662299 0.749240i \(-0.269581\pi\)
−0.980010 + 0.198948i \(0.936248\pi\)
\(618\) 1.04422e11 0.0287968
\(619\) 3.11755e12 + 5.39975e12i 0.853503 + 1.47831i 0.878027 + 0.478612i \(0.158860\pi\)
−0.0245236 + 0.999699i \(0.507807\pi\)
\(620\) 5.97599e11 + 1.03507e12i 0.162423 + 0.281325i
\(621\) −4.41822e11 + 7.65258e11i −0.119216 + 0.206488i
\(622\) 8.11214e10 1.40506e11i 0.0217310 0.0376391i
\(623\) 3.69171e12 0.981818
\(624\) 4.22800e11 0.111636
\(625\) −1.37817e12 + 2.38706e12i −0.361279 + 0.625753i
\(626\) 2.93815e11 5.08903e11i 0.0764697 0.132449i
\(627\) −2.10462e11 3.64532e11i −0.0543839 0.0941957i
\(628\) 3.25620e12 + 5.63991e12i 0.835398 + 1.44695i
\(629\) −4.46280e12 −1.13679
\(630\) 8.06454e10 + 1.39682e11i 0.0203961 + 0.0353271i
\(631\) −5.69331e11 9.86110e11i −0.142966 0.247624i 0.785646 0.618676i \(-0.212331\pi\)
−0.928612 + 0.371052i \(0.878997\pi\)
\(632\) 4.98200e11 + 8.62908e11i 0.124216 + 0.215148i
\(633\) −1.58474e11 + 2.74485e11i −0.0392320 + 0.0679519i
\(634\) −1.12384e12 −0.276251
\(635\) 1.38957e11 2.40681e11i 0.0339156 0.0587436i
\(636\) 2.21505e11 + 3.83658e11i 0.0536817 + 0.0929795i
\(637\) −1.88164e12 −0.452804
\(638\) 1.62146e11 + 2.80845e11i 0.0387447 + 0.0671078i
\(639\) −2.70014e12 + 4.67679e12i −0.640668 + 1.10967i
\(640\) −4.57766e11 + 7.92873e11i −0.107853 + 0.186807i
\(641\) 1.66242e12 0.388937 0.194468 0.980909i \(-0.437702\pi\)
0.194468 + 0.980909i \(0.437702\pi\)
\(642\) 4.05772e10 7.02818e10i 0.00942703 0.0163281i
\(643\) −3.71602e12 −0.857292 −0.428646 0.903473i \(-0.641009\pi\)
−0.428646 + 0.903473i \(0.641009\pi\)
\(644\) −2.53528e12 −0.580818
\(645\) 9.31413e9 1.90273e11i 0.00211896 0.0432871i
\(646\) −1.36014e12 −0.307282
\(647\) −3.40734e12 −0.764446 −0.382223 0.924070i \(-0.624841\pi\)
−0.382223 + 0.924070i \(0.624841\pi\)
\(648\) 7.95156e11 1.37725e12i 0.177160 0.306850i
\(649\) −2.73760e12 −0.605717
\(650\) 3.52517e11 6.10578e11i 0.0774588 0.134163i
\(651\) −2.46207e11 + 4.26442e11i −0.0537261 + 0.0930563i
\(652\) 1.45119e12 + 2.51354e12i 0.314493 + 0.544718i
\(653\) 7.25351e12 1.56113 0.780565 0.625075i \(-0.214931\pi\)
0.780565 + 0.625075i \(0.214931\pi\)
\(654\) 3.71950e10 + 6.44237e10i 0.00795033 + 0.0137704i
\(655\) −6.35810e11 + 1.10125e12i −0.134971 + 0.233777i
\(656\) 2.09482e12 0.441650
\(657\) −1.68502e12 + 2.91855e12i −0.352827 + 0.611114i
\(658\) −3.17107e11 5.49245e11i −0.0659461 0.114222i
\(659\) −2.00762e12 3.47731e12i −0.414666 0.718222i 0.580728 0.814098i \(-0.302768\pi\)
−0.995393 + 0.0958759i \(0.969435\pi\)
\(660\) 5.74474e10 + 9.95019e10i 0.0117848 + 0.0204119i
\(661\) 4.27017e12 0.870038 0.435019 0.900421i \(-0.356742\pi\)
0.435019 + 0.900421i \(0.356742\pi\)
\(662\) 6.02543e11 + 1.04363e12i 0.121935 + 0.211197i
\(663\) −3.63592e11 6.29760e11i −0.0730808 0.126580i
\(664\) −1.57729e12 + 2.73195e12i −0.314887 + 0.545401i
\(665\) 7.51900e11 1.30233e12i 0.149095 0.258240i
\(666\) 9.29789e11 0.183126
\(667\) −3.14214e12 −0.614694
\(668\) 1.53091e12 2.65162e12i 0.297479 0.515249i
\(669\) −1.06789e11 + 1.84963e11i −0.0206114 + 0.0357000i
\(670\) 2.58318e11 + 4.47419e11i 0.0495242 + 0.0857784i
\(671\) 1.43790e12 + 2.49052e12i 0.273828 + 0.474283i
\(672\) −2.84867e11 −0.0538866
\(673\) 2.22729e12 + 3.85779e12i 0.418514 + 0.724887i 0.995790 0.0916618i \(-0.0292179\pi\)
−0.577277 + 0.816549i \(0.695885\pi\)
\(674\) 1.59495e11 + 2.76254e11i 0.0297700 + 0.0515631i
\(675\) −6.77329e11 1.17317e12i −0.125584 0.217517i
\(676\) −5.27704e11 + 9.14010e11i −0.0971919 + 0.168341i
\(677\) 2.01002e12 0.367749 0.183875 0.982950i \(-0.441136\pi\)
0.183875 + 0.982950i \(0.441136\pi\)
\(678\) −2.02126e10 + 3.50093e10i −0.00367357 + 0.00636282i
\(679\) 2.41493e12 + 4.18278e12i 0.436004 + 0.755182i
\(680\) 7.56687e11 0.135715
\(681\) −3.11028e11 5.38717e11i −0.0554163 0.0959839i
\(682\) −3.33634e11 + 5.77871e11i −0.0590529 + 0.102283i
\(683\) 2.22798e10 3.85898e10i 0.00391759 0.00678546i −0.864060 0.503389i \(-0.832086\pi\)
0.867978 + 0.496603i \(0.165420\pi\)
\(684\) −7.42683e12 −1.29733
\(685\) −7.31299e11 + 1.26665e12i −0.126908 + 0.219810i
\(686\) 1.17671e12 0.202867
\(687\) 4.65088e11 0.0796581
\(688\) −4.40180e12 2.83704e12i −0.749001 0.482744i
\(689\) 4.20083e12 0.710148
\(690\) 4.24763e10 0.00713387
\(691\) 3.49236e12 6.04895e12i 0.582731 1.00932i −0.412423 0.910992i \(-0.635317\pi\)
0.995154 0.0983274i \(-0.0313492\pi\)
\(692\) −2.50558e12 −0.415366
\(693\) 1.18001e12 2.04383e12i 0.194350 0.336624i
\(694\) −1.10214e12 + 1.90896e12i −0.180351 + 0.312377i
\(695\) 7.01478e11 + 1.21500e12i 0.114047 + 0.197535i
\(696\) −2.33910e11 −0.0377839
\(697\) −1.80146e12 3.12023e12i −0.289120 0.500771i
\(698\) −7.82920e11 + 1.35606e12i −0.124844 + 0.216236i
\(699\) −1.53621e12 −0.243390
\(700\) 1.94334e12 3.36597e12i 0.305920 0.529869i
\(701\) 1.24302e12 + 2.15298e12i 0.194423 + 0.336751i 0.946711 0.322083i \(-0.104383\pi\)
−0.752288 + 0.658834i \(0.771050\pi\)
\(702\) 1.53022e11 + 2.65042e11i 0.0237814 + 0.0411906i
\(703\) −4.33446e12 7.50750e12i −0.669323 1.15930i
\(704\) 2.89294e12 0.443876
\(705\) −1.39242e11 2.41173e11i −0.0212284 0.0367687i
\(706\) −8.37380e11 1.45038e12i −0.126853 0.219716i
\(707\) 5.30767e10 9.19315e10i 0.00798944 0.0138381i
\(708\) 4.84413e11 8.39028e11i 0.0724546 0.125495i
\(709\) −5.20102e11 −0.0773001 −0.0386501 0.999253i \(-0.512306\pi\)
−0.0386501 + 0.999253i \(0.512306\pi\)
\(710\) 5.24384e11 0.0774439
\(711\) 2.20467e12 3.81860e12i 0.323542 0.560391i
\(712\) −1.80418e12 + 3.12494e12i −0.263100 + 0.455702i
\(713\) −3.23266e12 5.59913e12i −0.468443 0.811367i
\(714\) 7.64785e10 + 1.32465e11i 0.0110128 + 0.0190747i
\(715\) 1.08949e12 0.155900
\(716\) 4.80412e12 + 8.32098e12i 0.683133 + 1.18322i
\(717\) −6.01776e11 1.04231e12i −0.0850351 0.147285i
\(718\) −5.95077e10 1.03070e11i −0.00835629 0.0144735i
\(719\) 3.18932e11 5.52406e11i 0.0445059 0.0770865i −0.842914 0.538048i \(-0.819162\pi\)
0.887420 + 0.460961i \(0.152495\pi\)
\(720\) 1.94691e12 0.269992
\(721\) 2.72931e12 4.72730e12i 0.376135 0.651486i
\(722\) −6.21125e11 1.07582e12i −0.0850671 0.147340i
\(723\) −6.82007e11 −0.0928254
\(724\) 4.34306e12 + 7.52240e12i 0.587452 + 1.01750i
\(725\) 2.40851e12 4.17165e12i 0.323763 0.560773i
\(726\) 6.85414e10 1.18717e11i 0.00915668 0.0158598i
\(727\) −6.56983e12 −0.872267 −0.436133 0.899882i \(-0.643652\pi\)
−0.436133 + 0.899882i \(0.643652\pi\)
\(728\) −8.94832e11 + 1.54989e12i −0.118073 + 0.204508i
\(729\) −6.74062e12 −0.883947
\(730\) 3.27242e11 0.0426497
\(731\) −4.40378e11 + 8.99623e12i −0.0570423 + 1.16529i
\(732\) −1.01773e12 −0.131019
\(733\) 3.76977e12 0.482333 0.241166 0.970484i \(-0.422470\pi\)
0.241166 + 0.970484i \(0.422470\pi\)
\(734\) 1.37629e11 2.38380e11i 0.0175015 0.0303136i
\(735\) 1.73790e11 0.0219651
\(736\) 1.87013e12 3.23917e12i 0.234921 0.406896i
\(737\) 3.77971e12 6.54665e12i 0.471905 0.817364i
\(738\) 3.75320e11 + 6.50074e11i 0.0465745 + 0.0806695i
\(739\) −5.85653e12 −0.722338 −0.361169 0.932500i \(-0.617622\pi\)
−0.361169 + 0.932500i \(0.617622\pi\)
\(740\) 1.18313e12 + 2.04923e12i 0.145040 + 0.251217i
\(741\) 7.06271e11 1.22330e12i 0.0860576 0.149056i
\(742\) −8.83609e11 −0.107015
\(743\) −6.30152e10 + 1.09146e11i −0.00758570 + 0.0131388i −0.869793 0.493416i \(-0.835748\pi\)
0.862208 + 0.506555i \(0.169081\pi\)
\(744\) −2.40648e11 4.16815e11i −0.0287942 0.0498730i
\(745\) 2.27844e12 + 3.94638e12i 0.270978 + 0.469348i
\(746\) −1.26719e10 2.19483e10i −0.00149801 0.00259463i
\(747\) 1.39599e13 1.64036
\(748\) −2.71615e12 4.70451e12i −0.317246 0.549487i
\(749\) −2.12116e12 3.67395e12i −0.246266 0.426545i
\(750\) −6.85562e10 + 1.18743e11i −0.00791173 + 0.0137035i
\(751\) 6.76424e12 1.17160e13i 0.775959 1.34400i −0.158294 0.987392i \(-0.550599\pi\)
0.934254 0.356609i \(-0.116067\pi\)
\(752\) −7.65547e12 −0.872955
\(753\) 1.20294e12 0.136354
\(754\) −5.44130e11 + 9.42460e11i −0.0613100 + 0.106192i
\(755\) 2.21485e12 3.83623e12i 0.248075 0.429679i
\(756\) 8.43574e11 + 1.46111e12i 0.0939237 + 0.162681i
\(757\) −3.36705e12 5.83189e12i −0.372664 0.645473i 0.617310 0.786720i \(-0.288222\pi\)
−0.989974 + 0.141247i \(0.954889\pi\)
\(758\) 1.91636e12 0.210846
\(759\) −3.10757e11 5.38247e11i −0.0339886 0.0588699i
\(760\) 7.34926e11 + 1.27293e12i 0.0799065 + 0.138402i
\(761\) 1.42513e11 + 2.46840e11i 0.0154036 + 0.0266799i 0.873624 0.486601i \(-0.161763\pi\)
−0.858221 + 0.513281i \(0.828430\pi\)
\(762\) −2.74547e10 + 4.75530e10i −0.00294999 + 0.00510953i
\(763\) 3.88871e12